Question

If t = (- pi)/3 find the terminal point P(x,y) on the unit circle

Answer 1

Find the corresponding possitive angle by adding to the angle t 2pi:

`-(\pi)/(3)+2\pi=(-\pi+6\pi)/(3)=(5\pi)/(3)`

Identify the coordiantes using a unit circle:

Then, for angle t=-pi/3 the coordinates are:x=1/2y=-√3 /2